Answer:
Solution for If f(x) = 2x – 6 and g(x) = x – 2x2, find each value. f(2)
Answer:
simplified: (16/81)
rewritten: (2/3)^4
Step-by-step explanation:
hope this helps! if wrong you can delete it :)
Y = a (x + 3)² - 1
Let's take the point (-1;3)
3 = a ( -1 + 3)² - 1
3 = 4a - 1
4a = 4
Therefore a = 4/4 = 1
(x+3)² - 1
= x² + 6x + 9 - 1
= x² + 6x + 8
The answer would be y = x² + 6x + 8.
Hope this helps !
Photon
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
To start, we can multiply the fraction by (1 - sin(θ)). This yields:
Simplify. The denominator uses the difference of two squares pattern:
Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:
Split into two separate fractions:
Rewrite the two fractions:
By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:
Hence verified.
You're looking for 2/9 of 3/6 which means you are solving 3/6 ÷ 2/9.
When I was in sixth grade, my teacher always said "Dividing fractions, easy as pie. Flip the second and multiply." At the time, I thought I was too old for stuff like that, but now, I'm in ninth grade, and I haven't forgotten it. If you learn one thing, learn fractions, and learn them well because they never leave.
Anyway, 3/6 ÷ 2/9 becomes 3/6 × 9/2. Another thing from my teacher: "Multiplying fractions, no big problem. Top times top over bottom times bottom." So, 3 × 9 = 27 and 6 × 2 = 12. 27/12.
To make that a mixed number, do 27 ÷ 12. 12 goes in 2 times. This is the big number in your mixed number, your coefficient. Then you have 3 left over. (12 × 2 = 24. 27 - 24 = 3.) This is your numerator. And 12 is still your denominator.
Your answer is 2 3/12, which simplifies to 2 1/4.
